Class information for:
Level 1: ORTHOGONAL POLYNOMIALS//SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7380 1373 19.3 39%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
1193 2             ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 9261
7380 1                   ORTHOGONAL POLYNOMIALS//SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS 1373

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ORTHOGONAL POLYNOMIALS authKW 1731294 26% 22% 351
2 SOBOLEV ORTHOGONAL POLYNOMIALS authKW 1490281 5% 99% 68
3 SOBOLEV INNER PRODUCTS authKW 890056 3% 98% 41
4 CLASSICAL ORTHOGONAL POLYNOMIALS authKW 501108 3% 56% 40
5 MEASURES ON THE UNIT CIRCLE authKW 413966 2% 85% 22
6 SEMI CLASSICAL POLYNOMIALS authKW 378050 1% 100% 17
7 D ORTHOGONAL POLYNOMIALS authKW 357045 1% 94% 17
8 MULTIPLE ORTHOGONAL POLYNOMIALS authKW 327226 2% 45% 33
9 SEMICLASSICAL ORTHOGONAL POLYNOMIALS authKW 316273 1% 89% 16
10 RECURRENCE COEFFICIENTS authKW 288197 1% 72% 18

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics, Applied 32458 61% 0% 831
2 Mathematics 21138 53% 0% 734
3 Physics, Mathematical 729 7% 0% 97
4 Physics, Multidisciplinary 6 3% 0% 39
5 Computer Science, Theory & Methods 0 1% 0% 12
6 Social Sciences, Mathematical Methods -1 0% 0% 1
7 Multidisciplinary Sciences -1 0% 0% 2
8 Mathematics, Interdisciplinary Applications -1 0% 0% 4
9 Education, Scientific Disciplines -1 0% 0% 1
10 Statistics & Probability -3 0% 0% 3

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 CARLOS I FIS TEOR COMPUTAC 202728 4% 17% 53
2 ESTADIST MATEMAT LICADA 113324 2% 19% 27
3 DCCE 75043 1% 38% 9
4 ETSI IND MINAS 72774 0% 55% 6
5 PREPARAT MATH PHYS 69491 0% 63% 5
6 SUPER INFORMAT MEDENINE 66715 0% 100% 3
7 MATH MA 4 2 50035 0% 75% 3
8 UNITE ANAL MATH MECAN 50035 0% 75% 3
9 MATEMAT 45473 18% 1% 245
10 EDIFICIO MATEMAT SISTEMAS 44476 0% 100% 2

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 144186 19% 3% 256
2 JOURNAL OF APPROXIMATION THEORY 118664 10% 4% 135
3 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 100252 5% 6% 75
4 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 23899 3% 3% 41
5 CONSTRUCTIVE APPROXIMATION 21440 2% 3% 31
6 NUMERICAL ALGORITHMS 14360 2% 2% 34
7 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 10689 7% 0% 101
8 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 9992 1% 3% 16
9 RAMANUJAN JOURNAL 7757 1% 2% 19
10 ACTA APPLICANDAE MATHEMATICAE 5496 2% 1% 23

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 ORTHOGONAL POLYNOMIALS 1731294 26% 22% 351 Search ORTHOGONAL+POLYNOMIALS Search ORTHOGONAL+POLYNOMIALS
2 SOBOLEV ORTHOGONAL POLYNOMIALS 1490281 5% 99% 68 Search SOBOLEV+ORTHOGONAL+POLYNOMIALS Search SOBOLEV+ORTHOGONAL+POLYNOMIALS
3 SOBOLEV INNER PRODUCTS 890056 3% 98% 41 Search SOBOLEV+INNER+PRODUCTS Search SOBOLEV+INNER+PRODUCTS
4 CLASSICAL ORTHOGONAL POLYNOMIALS 501108 3% 56% 40 Search CLASSICAL+ORTHOGONAL+POLYNOMIALS Search CLASSICAL+ORTHOGONAL+POLYNOMIALS
5 MEASURES ON THE UNIT CIRCLE 413966 2% 85% 22 Search MEASURES+ON+THE+UNIT+CIRCLE Search MEASURES+ON+THE+UNIT+CIRCLE
6 SEMI CLASSICAL POLYNOMIALS 378050 1% 100% 17 Search SEMI+CLASSICAL+POLYNOMIALS Search SEMI+CLASSICAL+POLYNOMIALS
7 D ORTHOGONAL POLYNOMIALS 357045 1% 94% 17 Search D+ORTHOGONAL+POLYNOMIALS Search D+ORTHOGONAL+POLYNOMIALS
8 MULTIPLE ORTHOGONAL POLYNOMIALS 327226 2% 45% 33 Search MULTIPLE+ORTHOGONAL+POLYNOMIALS Search MULTIPLE+ORTHOGONAL+POLYNOMIALS
9 SEMICLASSICAL ORTHOGONAL POLYNOMIALS 316273 1% 89% 16 Search SEMICLASSICAL+ORTHOGONAL+POLYNOMIALS Search SEMICLASSICAL+ORTHOGONAL+POLYNOMIALS
10 RECURRENCE COEFFICIENTS 288197 1% 72% 18 Search RECURRENCE+COEFFICIENTS Search RECURRENCE+COEFFICIENTS

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 EVERITT, WN , KWON, KH , LITTLEJOHN, LL , WELLMAN, R , (2001) ORTHOGONAL POLYNOMIAL SOLUTIONS OF LINEAR ORDINARY DIFFERENTIAL EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 133. ISSUE 1-2. P. 85 -109 40 93% 25
2 SAIB, A , (2013) ON SEMI-CLASSICAL D-ORTHOGONAL POLYNOMIALS.MATHEMATISCHE NACHRICHTEN. VOL. 286. ISSUE 17-18. P. 1863-1885 27 93% 1
3 MARCELLAN, F , BALCAZAR, JJM , (2006) ASYMPTOTICS AND ZEROS OF SOBOLEV ORTHOGONAL POLYNOMIALS ON UNBOUNDED SUPPORTS.ACTA APPLICANDAE MATHEMATICAE. VOL. 94. ISSUE 2. P. 163-192 28 93% 18
4 HUERTAS, EJ , MARCELLAN, F , PEREZ-VALERO, MF , QUINTANA, Y , (2014) ASYMPTOTICS FOR LAGUERRE-SOBOLEV TYPE ORTHOGONAL POLYNOMIALS MODIFIED WITHIN THEIR OSCILLATORY REGIME.APPLIED MATHEMATICS AND COMPUTATION. VOL. 236. ISSUE . P. 260-272 22 100% 0
5 BEN CHEIKH, Y , GAM, I , (2016) ON SOME OPERATORS VARYING THE DIMENSIONAL PARAMETERS OF D-ORTHOGONALITY.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 27. ISSUE 9. P. 731 -746 21 100% 0
6 GARZA, LE , MARCELLAN, F , (2016) ORTHOGONAL POLYNOMIALS AND PERTURBATIONS ON MEASURES SUPPORTED ON THE REAL LINE AND ON THE UNIT CIRCLE. A MATRIX PERSPECTIVE.EXPOSITIONES MATHEMATICAE. VOL. 34. ISSUE 3. P. 287 -326 25 81% 0
7 FILIPUK, G , REBOCHO, MN , (2016) DISCRETE PAINLEVE EQUATIONS FOR RECURRENCE COEFFICIENTS OF LAGUERRE-HAHN ORTHOGONAL POLYNOMIALS OF CLASS ONE.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 27. ISSUE 7. P. 548 -565 21 95% 0
8 DOMINICI, D , MARCELLAN, F , (2014) DISCRETE SEMICLASSICAL ORTHOGONAL POLYNOMIALS OF CLASS ONE.PACIFIC JOURNAL OF MATHEMATICS. VOL. 268. ISSUE 2. P. 389 -411 21 95% 1
9 LAMIRI, I , OUNI, A , (2013) D-ORTHOGONALITY OF SOME BASIC HYPERGEOMETRIC POLYNOMIALS.GEORGIAN MATHEMATICAL JOURNAL. VOL. 20. ISSUE 4. P. 729-751 20 100% 1
10 MARCELLAN, F , PINZON, NC , (2012) HIGHER ORDER COHERENT PAIRS.ACTA APPLICANDAE MATHEMATICAE. VOL. 121. ISSUE 1. P. 105 -135 20 100% 3

Classes with closest relation at Level 1


Rank Class id link
1 18858 NIKISHIN SYSTEMS//MEROMORPHIC APPROXIMATION//HERMITE PADE APPROXIMANTS
2 20219 MATRIX ORTHOGONAL POLYNOMIALS//MATRIX VALUED ORTHOGONAL POLYNOMIALS//GENERATING MATRIX FUNCTION
3 16438 ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS
4 12595 UNIFORM ASYMPTOTIC EXPANSION//ZEROS//TURAN TYPE INEQUALITIES
5 13296 FREUD WEIGHTS//HERMITE FEJER INTERPOLATION//ERDOS WEIGHTS
6 25823 HYPERGROUPS//POLYNOMIAL HYPERGROUPS//ISOTROPIC RANDOM WALKS
7 9297 BASIC HYPERGEOMETRIC SERIES//ABELS LEMMA ON SUMMATION BY PARTS//Q SERIES
8 23811 OPERATIONAL METHODS//MONOMIALITY PRINCIPLE//GENERATING RELATIONS
9 15602 REMAINDER TERM FOR ANALYTIC FUNCTIONS//THE METHOD OF UNDETERMINED COEFFICIENT//OSCILLATORY INTEGRALS
10 3500 RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//LIMITING SPECTRAL DISTRIBUTION

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